New: Ratios and Rates

New: Ratios and Rates

<p> 2014 Math Standards 6 – 8 October 1, November 19, 2014 Sixth Grade</p><p>Day 1</p><p>Number Sense</p><p> New: Ratios and Rates</p><p> Student Challenges</p><p> o Negative integers</p><p> o Positive and negative relationships as opposites (2 opposite -2)</p><p> Teacher Challenges</p><p> o Ratio Models (all 3 ways)</p><p> o Ratios can be written as frations</p><p> Fluency</p><p> o Number lines, ordering numbers</p><p> o Fluency not used</p><p> Resources</p><p> o Dry Erase Charts ( . % / )</p><p> o Number Line</p><p> o Examples of problems (using test vocabulary) </p><p>Computation</p><p> New – Fluently divide using standard algorithm</p><p> o Multiplication lattice</p><p> o Division partial quotient </p><p> Student Challenges</p><p> o Remainders and how to express them for specific problems</p><p> Teacher Challenges</p><p> o Teaching standard algorithm</p><p>1 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014  Fluency</p><p> o Computing positive fractions</p><p> o Dividing / using standard algorithms</p><p> Resources</p><p> o IDOE Standard Resources Guide Websites</p><p>. Illustratedmathematics.org</p><p>. IXL</p><p>. BBC </p><p>Algebra/Functions</p><p> New</p><p> o Label 4 quadrants</p><p> o (+) independent and dependent variable</p><p> o Expression vs. Equation</p><p> o (Fluent) – Specific equations to solve</p><p> Student Challenges</p><p> o Inequalities</p><p> o Visuals/modeling inequalities</p><p> Teacher Challenges</p><p> o Resources? </p><p>Geometry/Measurement</p><p> New</p><p> o Composing/Decomposing</p><p> o Converting between measurement systems</p><p> Student Challenges</p><p> o Convert between American and metric systems</p><p>2 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014  Teacher Challenges</p><p> o Using nets</p><p> o Conversions</p><p> o Terminology (nets)</p><p> Fluency – none</p><p> Resources - Websites on IDOE reference guide</p><p>Data Analysis</p><p> New</p><p> o Displaying data using technology</p><p> o Have students form questions and display data</p><p> Student Challenges</p><p> o Display data on computers</p><p> Teacher Challenges</p><p> o Technology (Excel spreadsheets)</p><p> Fluency</p><p> o Formulate and organize data</p><p> Resources</p><p> o Computer charting and graphing</p><p>3 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 Seventh Grade</p><p>Day 1</p><p>Number Sense</p><p> New</p><p> o Some standards are now in 6th grade</p><p> o 7.NS.2 moved from 8th grade</p><p> Student Challenges</p><p> o Need to know old 6th grade standards as well as new 7th grade standards</p><p> Teacher Challenges</p><p> o Time</p><p> o Creating multiple skill lessons</p><p> o Reinforcing skills throughout the year</p><p> o Resources correlate?</p><p> Fluency (Mastery of skill) – N/A</p><p>Computation</p><p> New</p><p> o More mathematically worded</p><p>. May be difficult</p><p> Student Challenges</p><p> o Conversions (7.C.6)</p><p> o Showing work (persistence) </p><p> o MUST know facts</p><p> Teacher Challenges</p><p> o TIME</p><p> o Student prerequisite knowledge (lack of)</p><p>4 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 o Real world problems</p><p> Fluency</p><p> o 7.C.7: Compute with rational numbers</p><p> Resources – </p><p>Algebra/Functions </p><p> New</p><p> o Deeper dive into Slope</p><p>. Was more 8th grade</p><p> o More Unit/Rate</p><p> o More explanations, real world, & correlate deeper</p><p> Student Challenges</p><p> o Absorb and stay on task (persistence) </p><p> Challenge for Teachers</p><p> o How to keep students engaged – teach persistence </p><p> Fluency</p><p> o 7.AF.2: Solve equations fluently</p><p>Geometry/Measurement</p><p> New</p><p> o 5 out of 7 standards have “real world” in them</p><p> Student Challenges</p><p> o 7.GM.2</p><p> o 7.GM.3</p><p> o 7.GM.4</p><p> o 7.GM.5</p><p>5 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 o Next year – students may not have skills/introduced in 6th grade due to it being new</p><p> Teacher Challenges</p><p> o TIME</p><p> o 7.GM.5: Area & Circumference </p><p> Fluency</p><p> o Area & Circumference</p><p> o Scale Drawings</p><p> o Angles (types) </p><p>Data Analysis</p><p> New</p><p> o 7.DSP.1 – 7.DSP.2 – 7.DSP.4</p><p>. From 8th grade</p><p> o Samples, observations, statistics, inferences</p><p> Student Challenges</p><p> o Using data to make inferences</p><p> o Best situation to use measures of central tendency (real world)</p><p> Teacher Challenges</p><p> o Wordiness of standards </p><p>6 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 Eighth Grade</p><p>Day 1</p><p>Number Sense</p><p> Challenges</p><p> o NS.1 – repeating decimal converted to fraction </p><p> o Making sure mastery of previous years’ standards (foundations)</p><p>Computation</p><p> Student Challenges</p><p> o C.1 – real application of multiple operations with justification</p><p> o C.2 – Calculator policy?</p><p> o Computation with scientific calculator and scientific notation </p><p> Teacher Challenges</p><p> o Class sets of calculators</p><p> Where does scientific notation appear in the science classroom?</p><p> o Science/math work together</p><p>Algebra & Functions</p><p> Challenges</p><p> o AF.1 – Problem with fraction fluency and possibly distributive property</p><p> o AF.2 – Idea of “no solution” or “infinitely many solutions” when solving equivalent equations</p><p> o AF.3 – No exposure in previous years (independent/dependent variables) </p><p> o AF.4 – Vocab word - *qualitative</p><p> o AF.5 – Future years y=mx+b will be new</p><p> o AF.6 – Vocab words - *slope and y-intercept </p><p> o AF.7 – Comparing between a table, graph and equation (comparison of two different formats)</p><p>. *Teacher concern: time on test*</p><p>7 | P a g e 2014 Math Standards 6 – 8 October 1, November 19, 2014 o AF.8 – Substitution method removed</p><p>Geometry/Measurement</p><p> GM.1 – The effects of slicing/result of</p><p> o Writing directions vs. visual presentations </p><p> GM.3 – Prior knowledge</p><p> GM.4 – Prior knowledge</p><p> GM.5 – Describing a sequence of multiple transformations</p><p> GM.6 – Future years material will be brand new</p><p> GM.7 – State couldn’t even give an example!!! (+)</p><p> GM.9 – Have to plot points, use distance formula (not on formula/reference sheet) use Pythagorean Theorem</p><p>Data Analysis</p><p> DSP.1 – DSP.2 – DSP.3: New terminology – in future years new to pic</p><p> o Bivariate</p><p> o Extra0poltation</p><p> o Interpolation</p><p> o Association instead of correlation</p><p> o Clustering</p><p> DSP.6: Changing from fundamental to multiplication counting principal</p><p> Box and whiskers moved</p><p>8 | P a g e</p>

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